1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
blagie [28]
3 years ago
5

Given that f(x)= 2x+1 and g(x)= x^2 +2x+1 find (F+g)(2). Find (F.g)(x) find f(x)/g find f(2) +g(-2)?

Mathematics
2 answers:
Pepsi [2]3 years ago
7 0

Answer:

(f+g)(2) = 14

f(g(x)) = 2x^2 + 4x +3

\frac{f(x)}{g(x)} = \frac{2x+1}{x^2+2x+1}

f(2) + g(-2) = 6

Step-by-step explanation:

Function composition and transformation combines functions together using operations such as addition, subtraction, multiplication, division and substitution. To find each, perform the operation with the functions f(x) = 2x+1 and g(x) = x^2 + 2x +1.

(f+g)(x) is the functions f and g added together with 2 substituted for x.

(f+g)(x) = 2x+1 + x^2 +2x + 1 = x^2 + 4x + 2\\(f+g)(2) = 2^2 + 4(2) + 2 = 14

(f·g)(x) is function composition that means f(g(x)) or substitute g(x) into f(x).

f(g(x)) = 2(x^2+2x+1)+1 = 2x^2 + 4x+2 + 1\\f(g(x)) = 2x^2 + 4x +3

f(x) / g(x) is division of the two functions. Division can only occur with polynomials if they share the same factors or things which multiply to create them. If none are present, do not simplify.

\frac{f(x)}{g(x)} = \frac{2x+1}{x^2+2x+1}

This cannot be simplified.

f(2) + g(-2) means find the function value of f at 2 and the function value of g at -2 then add them together.

f(2)+g(-2) = 2(2)+1 + ((-2)^2+2(-2) + 1)\\f(2) + g(-2) = 5 + (4-4+1)\\f(2) + g(-2) = 5 +1 = 6

schepotkina [342]3 years ago
4 0

Answer:

Answer:

Step-by-step explanation:

Function composition and transformation combines functions together using operations such as addition, subtraction, multiplication, division and substitution. To find each, perform the operation with the functions f(x) = 2x+1 and .

(f+g)(x) is the functions f and g added together with 2 substituted for x.

(f·g)(x) is function composition that means f(g(x)) or substitute g(x) into f(x).

f(x) / g(x) is division of the two functions. Division can only occur with polynomials if they share the same factors or things which multiply to create them. If none are present, do not simplify.

This cannot be simplified.

f(2) + g(-2) means find the function value of f at 2 and the function value of g at -2 then add them together.

Step-by-step explanation:

You might be interested in
Write an expression to show the costs of 2 sandwiches 2 sandwiches 2 drinks and a salad .how many terms does your expression hav
Nataly [62]
I would say two
Have a good day
7 0
3 years ago
Please help what answer
Daniel [21]
The answer is -34. Substitute the letters for the numbers
7 0
3 years ago
Read 2 more answers
Can someone help me with this problem for a quiz tomorrow????
elena-14-01-66 [18.8K]

Answer:

I hope it requires the picture I have drawn.

4 0
3 years ago
Reese wants to organize a party and decides to save money for it.He calculates that he needs $420 in 9 weeks.He already has $60
amid [387]
Start by creating an equation. You’ll need a variable to represent what is earned per week, for example x.

So,
420=60+9x
(Since he already has 60)
Subtract the 60 from 420 to begin isolating the variable
This gives you
360=9x
Divide both sides by 9 to completely isolate the variable
This gives you
40=x
So, he needs to save up $40 each week
3 0
3 years ago
How do I solve this promblem
Oliga [24]
At first glance, this problem seems cumbersome, but the great thing about the properties of logarithms is that they allow us to break our problem down into chunks and sort through each on its own.

Let's look at what we've been given:

\log_3{(x^{20}\cdot \sqrt[3]{y^6} )

We can start by using the property that \log_n(a\cdot b) = \log_na+\log_nb to separate our single logarithm into the sum of two:

\log_3x^{20}+\log_3\sqrt[3]{y^6}

Next, let's simplify the term \sqrt[3]{y^6} into something a little more workable. We can turn the radical \sqrt[3]{\ } into the rational exponent 1/3, which lets us obtainin a new form for the y term:

y^{6(1/3)}=y^{6/3}=y^2

We now have:

\log_3x^{20}+\log_3y^2

We can now use the property that \log_na^x=x\log_na to bring the exponents on the x and the y out front and obtain our final answer:

\log_3x^{20}+\log_3y^2=20\log_3x+2\log_3y

Where 20 is our A and 2 is our B
5 0
3 years ago
Other questions:
  • 5) 90°<br> A) acute<br> C) straight<br> B) obtuse<br> D) right
    11·2 answers
  • Can somebody number the problem and work it out for me thanks and btw it’s solving system by graphics
    14·1 answer
  • In the following problem, check that it is appropriate to use the normal approximation to the binomial. Then use the normal dist
    9·1 answer
  • Find the common factor out of -12+15x.
    6·1 answer
  • 2. The Andersons went to dinner at
    11·1 answer
  • Which word BEST describes 3x, 5y, and z in the expression 3x − 5y + z?
    8·1 answer
  • Find the measure of &lt;1
    7·2 answers
  • A rectangle's perimeter is equal to 27 plus its width. The length of the rectangle is four times its width. What is the
    12·1 answer
  • What happens to the function f(x)=x4 when it becomes f′(x)=x4+5?
    9·1 answer
  • FIRST TO ANSWER THIS QUESTION WILL BE MARKED AS BRAINLIEST AND ALSO I WILL FOLLOW THAT PERSON.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!